Title :
Stability enhancement by boundary control in 2D channel flow. II. Numerical implementation and stability
Author :
Balogh, Andras ; Liu, Wei-Jiu ; Krstic, Miroslav
Author_Institution :
Dept. of MAE, California Univ., San Diego, La Jolla, CA, USA
Abstract :
For pt.I see Proceedings of 38th. Conf. on Decision and Control (1999). In that part the authors considered boundary control of a viscous incompressible fluid flow in a 2D channel, and globally stabilized the parabolic equilibrium profile by tangential velocity actuation. This feedback is shown to guarantee global stability in at least H2 norm, which implies continuity in space and time of both the flow field and the control. The theoretical results are limited to low values of Reynolds number, however, we present simulations that demonstrate the effectiveness of the proposed feedback for values five order of magnitude higher
Keywords :
H∞ control; boundary layers; boundary-value problems; channel flow; feedback; flow control; flow instability; stability; viscosity; 2D channel flow; H2 norm; Reynolds number; boundary control; feedback; global stabilization; guaranteed global stability; numerical implementation; numerical stability; parabolic equilibrium profile; space continuity; stability enhancement; tangential velocity actuation; time continuity; viscous incompressible fluid flow; Feedback; Fluid flow; Fluid flow control; Hydrogen; Kinematics; Mathematics; Numerical stability; Statistics; Velocity control; Viscosity;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.877024
